ASKSAGE: Sage Q&A Forum - RSS feedhttps://ask.sagemath.org/questions/Q&A Forum for SageenCopyright Sage, 2010. Some rights reserved under creative commons license.Mon, 22 Sep 2014 10:21:42 +0200Finding Gaussian integer points on elliptic curveshttps://ask.sagemath.org/question/9607/finding-gaussian-integer-points-on-elliptic-curves/How can I find all points whose coordinates are Gaussian integers?
I know that finding all integer points for curves over rationals can be done by:
E.S_integral_points([], both_signs=True)
or
E.integral_points(both_signs=True)
But these do not work with curve defined over "i"-extension of rationals.Tue, 04 Dec 2012 17:57:16 +0100https://ask.sagemath.org/question/9607/finding-gaussian-integer-points-on-elliptic-curves/Answer by John Cremona for <p>How can I find all points whose coordinates are Gaussian integers?
I know that finding all integer points for curves over rationals can be done by:
E.S_integral_points([], both_signs=True)
or
E.integral_points(both_signs=True)</p>
<p>But these do not work with curve defined over "i"-extension of rationals.</p>
https://ask.sagemath.org/question/9607/finding-gaussian-integer-points-on-elliptic-curves/?answer=24240#post-id-24240Work is under way to provide this functionality (tostart with only integral points, not S-integral) at trac ticket #10973: http://trac.sagemath.org/ticket/10973
Finishing this has been on my to-do list for a while, part of the delay being in finding errors in published papers where the algorithms are described.
Mon, 22 Sep 2014 10:21:42 +0200https://ask.sagemath.org/question/9607/finding-gaussian-integer-points-on-elliptic-curves/?answer=24240#post-id-24240